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Diversification Explained: Why Combining Investments Can Lower Risk

Holding investments that don't move in lockstep reduces how much a portfolio swings, often without reducing expected return proportionally. Here is the math of correlation and the limits of diversification.

Investing Article, 2 min read

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Diversification means spreading money across many investments so that a problem with any one of them doesn't sink the whole portfolio. It's often called the closest thing to a free lunch in investing, because it can reduce risk without a proportional reduction in expected return.

Single-company risk

If you own one company's stock and it fails, you can lose everything. If that same company is one of 500 in an index fund, its failure is a small dent. A hypothetical comparison:

One stock, $10,000, company fails: lose $10,000 Ten stocks, $1,000 each, one fails: lose $1,000 Index fund, 500 stocks, one fails: lose roughly $20, depending on weight

Correlation: how investments move together

The benefit of diversification depends on correlation, a measure of how investments move relative to each other, from +1 (always together) to −1 (always opposite).

Two hypothetical investments each have 20% volatility. A 50/50 mix has volatility that depends on their correlation:

Correlation 50/50 portfolio volatility
+1.0 20.0%
+0.6 17.9%
+0.3 16.1%
0.0 14.1%
−0.3 11.8%
Volatility of a 50/50 mix of two 20%-volatility investments
0.0%4.0%8.0%12.0%16.0%20.0%20.0%+1.017.9%+0.616.1%+0.314.1%0.011.8%−0.3
Standard portfolio volatility formula. Illustrative. Real correlations change over time.
Show the numbers behind this chart
Correlation between the two investmentsPortfolio volatility
+1.020.0%
+0.617.9%
+0.316.1%
0.014.1%
−0.311.8%

When the two move perfectly together, mixing them doesn't reduce risk at all. The lower the correlation, the more combining them smooths the ride. Lower volatility also reduces volatility drag, which helps compound returns.

Office graph

What diversification can and can't do

Can: - reduce the risk of any single company, sector, or country; - smooth portfolio returns; - improve the chance of staying invested through rough periods.

Can't: - eliminate market risk: broad markets can fall together; - guarantee against losses; - keep correlations stable: in sharp market declines, many investments tend to fall together.

Practical ways to diversify

  • Broad index funds across many companies; see index funds and ETFs.
  • Across asset classes, such as stocks and bonds; see asset allocation.
  • Across countries and sectors.
  • Limiting concentration in your employer's stock or any single holding.

The takeaway

Diversification lowers risk by combining investments that don't move in lockstep. The lower their correlation, the bigger the benefit. It won't prevent market-wide declines, but it can prevent a single failure from becoming a disaster.

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